Answer:
See below
Step-by-step explanation:
The solution choices all agree that x = 1±√2. The second equation tells you ...
y = ±2√(x+2)
so the sign of the √2 term in x is the same as the sign of the √2 term in y. The answer choices circled in red are the ones that meet this requirement.
<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144
Solution:
Since it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.
for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!
for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d
they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
Answer:
Step-by-step explanation:
Your friend has a head start of (2 h)×(8 mi/h) = 16 mi.
When you leave, you gain on your friend at the rate of 40 mph - 8 mph = 32 mph. So, it will take ...
(16 mi)/(32 mi/h) = 1/2 h
for you to reduce the distance between you to zero.
In that 1/2 hour, you have traveled ...
(1/2 h)×(40 mi/h) = 20 mi
__
This is the same distance your friend has traveled in 2.5 hours at 8 mi/h.
Answer: See below
Step-by-step explanation:
number of yellow pieces/number of blue pieces
= 14/24
= 7/12 --> 7 to 12 --> 7:12
The ratio that represents the number of yellow pieces to the total number of pieces is part-to-whole
number of yellow pieces/total number of pieces
= 14/100
= 7/50 --> 7 to 50 --> 7:50
The ratio that represents the number of blue pieces to the total number of pieces is part-to-whole
= 24/100
= 6/25 --> 6 to 25 --> 6:25
